The Dirichlet problem for second order parabolic operators in noncylindrical domains

被引：1

作者：

Argiolas, Roberto ^{[1
]}

Grimaldi, Anna Piro ^{[1
]}

机构：

[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09123 Cagliari, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 04期

关键词：

Dirichlet problem; parabolic operator; non-cylindrical domain; ELLIPTIC-EQUATIONS; HARNACK INEQUALITY; POSITIVE SOLUTIONS; FATOU THEOREM; BOUNDARY;

D O I：

10.1002/mana.200610815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we develope a perturbation theory for second order parabolic operators in non-divergence form. In particular we study the solvability of the Dirichlet problem in non cylindrical domains with L-p-data on the parabolic boundary. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：522 / 543

页数：22

共 50 条

[1] The Dirichlet problem for second order parabolic operators
Nystrom, K
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1997, 46 (01) : 183 - 245
[2] THE DIRICHLET PROBLEM FOR SECOND ORDER PARABOLIC OPERATORS IN DIVERGENCE FORM
Auscher, Pascal
Egert, Moritz
Nystrom, Kaj
[J]. JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2018, 5 : 407 - 441
[3] The Dirichlet boundary problem for second order parabolic operators satisfying a Carleson condition
Dindos, Martin
Hwang, Sukjung
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2018, 34 (02) : 767 - 810
[4] THE DIRICHLET PROBLEM FOR SECOND ORDER SEMILINEAR ELLIPTIC AND PARABOLIC EQUATIONS
Tersenov, Alkis
[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2009, 1 (03): : 393 - 411
[5] Lp-Solvability of the Dirichlet Problem for Second Order Parabolic Equations
Alkhutov Y.A.
Gordeev A.N.
[J]. Journal of Mathematical Sciences, 2011, 172 (4) : 423 - 448
[6] A DEGENERATE PARABOLIC EQUATION IN NONCYLINDRICAL DOMAINS
BERTSCH, M
DALPASSO, R
FRANCHI, B
[J]. MATHEMATISCHE ANNALEN, 1992, 294 (03) : 551 - 578
[7] The Second Boundary-Value Problem for Pseudoparabolic Equations in Noncylindrical Domains
M. V. Ivanova
V. I. Ushakov
[J]. Mathematical Notes, 2002, 72 : 43 - 47
[8] The mixed Dirichlet-Neumann-Cauchy problem for second order hyperbolic operators
Bennish, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 209 (01) : 243 - 254
[9] The Dirichlet problem for parabolic operators with singular drift terms
Hofmann, S
Lewis, JL
[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 151 (719) : VIII - 113
[10] The second boundary-value problem for pseudoparabolic equations in noncylindrical domains
Ivanova, MV
Ushakov, VI
[J]. MATHEMATICAL NOTES, 2002, 72 (1-2) : 43 - 47

← 1 2 3 4 5 →